11325969471600 has 2400 divisors, whose sum is σ = 50418250882560. Its totient is φ = 2377589760000.

The previous prime is 11325969471571. The next prime is 11325969471623. The reversal of 11325969471600 is 617496952311.

11325969471600 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 59 + 69 + 471 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23067147355 + ... + 23067147845.

Almost surely, 2^{11325969471600} is an apocalyptic number.

11325969471600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325969471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209125441280).

11325969471600 is an abundant number, since it is smaller than the sum of its proper divisors (39092281410960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11325969471600 is a wasteful number, since it uses less digits than its factorization.

11325969471600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 11325969471600 in words is "eleven trillion, three hundred twenty-five billion, nine hundred sixty-nine million, four hundred seventy-one thousand, six hundred".